What is the inverse of f(x)=12x^2+x-1 ?

The inverse of f(x)=12x^2+x-1 is (-1+sqrt(48x+49))/(24),(-1-sqrt(48x+49))/(24)

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inverse of f(x)=12x^2+x-1

inverse

f (x) = 12 x^{2} + x - 1

\frac{- 1 + 48 x + 49}{24}, \frac{- 1 - 48 x + 49}{24}

Solution steps

y = 12 x^{2} + x - 1

Replace

x

with

y

x = 12 y^{2} + y - 1

Solve for

y, x = 12 y^{2} + y - 1

\frac{- 1 + 48 x + 49}{24}, \frac{- 1 - 48 x + 49}{24}

What is the inverse of f(x)=12x^2+x-1 ?
The inverse of f(x)=12x^2+x-1 is (-1+sqrt(48x+49))/(24),(-1-sqrt(48x+49))/(24)